Suppose x has a distribution with a mean of 70 and a standard deviation of 45. Random samples of size n = 36 are drawn.  Describe the  distribution.   Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)   Find the z value corresponding to  = 55. (Enter an exact number.) z =  (c)  Find P( < 55). (Enter a number. Round your answer to four decimal places.) P( < 55) = P(x bar < 55) (d)  Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 55? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 55.Yes, it would be unusual because more than 5% of all such samples have means less than 55.    Yes, it would be unusual because less than 5% of all such samples have means less than 55.No, it would not be unusual because more than 5% of all such samples have means less than 55.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Suppose x has a distribution with a mean of 70 and a standard deviation of 45. Random samples of size n = 36 are drawn.

 Describe the  distribution.
 
Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)
 
Find the z value corresponding to  = 55. (Enter an exact number.)
z = 

(c)

 Find P( < 55). (Enter a number. Round your answer to four decimal places.)
P( < 55) = P(x bar < 55)

(d)

 Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 55? Explain.
No, it would not be unusual because less than 5% of all such samples have means less than 55.Yes, it would be unusual because more than 5% of all such samples have means less than 55.    Yes, it would be unusual because less than 5% of all such samples have means less than 55.No, it would not be unusual because more than 5% of all such samples have means less than 55.
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